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Finding the Fourth Proportional to 298,878.75, 412,219.37 and 191,458.78

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Solution

The fourth proportional to 298,878.75, 412,219.37 and 191,458.78 is: 264,063.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,878.75 : 412,219.37 = 191,458.78 : x
  2. Step 2: Convert to fraction form
    298,878.75/412,219.37 = 191,458.78/x
  3. Step 3: Cross multiply
    298,878.75x = 412,219.37 × 191,458.78
  4. Step 4: Simplify right side
    298,878.75x = 78,923,017,672.57
  5. Step 5: Solve for x
    x = 78,923,017,672.57/298,878.75
  6. Step 6: Final answer
    x = 264,063.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.